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Thorough introduction to an important area of mathematics Contains
recent results Includes many exercises
This White Paper describes the state of astrobiology in Europe
today and its relation to the European society at large. With
contributions from authors in twenty countries and over thirty
scientific institutions worldwide, the document illustrates the
societal implications of astrobiology and the positive contribution
that astrobiology can make to European society. The White paper has
two main objectives: 1. It recommends the establishment of a
European Astrobiology Institute (EAI) as an answer to a series of
challenges relating to astrobiology but also European research,
education and the society at large. 2. It also acknowledges the
societal implications of astrobiology, and thus the role of the
social sciences and humanities in optimizing the positive
contribution that astrobiology can make to the lives of the people
of Europe and the challenges they face. This book is recommended
reading for science policy makers, the interested public, and the
astrobiology community.
Thorough introduction to an important area of mathematics Contains
recent results Includes many exercises
This book project was initiated at "The Tribute Workshop in
Honour of Gunnar Sparr" and the follow-up workshop "Inequalities,
Interpolation, Non-commutative, Analysis, Non-commutative Geometry
and Applications INANGA08," held at the Centre for Mathematical
Sciences, Lund University in May and November of 2008.
The resulting book is dedicated in celebration of Gunnar Sparr's
sixty-fifth anniversary and more than forty years of exceptional
service to mathematics and its applications in engineering and
technology, mathematics and engineering education, as well as
interdisciplinary, industrial and international cooperation.
This book presents new advances in several areas of mathematics and
engineering mathematics including applications in modern
technology, engineering and life sciences. Thirteen high-quality
chapters put forward many new methods and results, reviews of up to
date research and open directions and problems for future
research.
A special chapter by Gunnar Sparr and Georg Lindgren contains a
historical account and important aspects of engineering
mathematics
research and education, and the implementation of the highly
successful education programme in Engineering Mathematics at Lund
Institute of Technology, where not only the mathematical sciences
have played a role.
This book will serve as a source of inspiration for a broad
spectrum of researchers and research students."
This book is highly recommended for students in high schools and
those studying privately for other entrance examination to the
universities. It is suitable as a preparatory course book for those
who wish to engage in self-study through distance learning
programmes in the universities and other tertiary educational
institutions.The book begins with an introductory work on
arithmetic that includes the number line, fractions,
approximations, etc. This is followed by chapters which cover
extensively the syllables of major examinations such as the GCE
O'Level and the WASSE examinations.
This book project was initiated at "The Tribute Workshop in
Honour of Gunnar Sparr" and the follow-up workshop "Inequalities,
Interpolation, Non-commutative, Analysis, Non-commutative Geometry
and Applications INANGA08," held at the Centre for Mathematical
Sciences, Lund University in May and November of 2008.
The resulting book is dedicated in celebration of Gunnar Sparr's
sixty-fifth anniversary and more than forty years of exceptional
service to mathematics and its applications in engineering and
technology, mathematics and engineering education, as well as
interdisciplinary, industrial and international cooperation.
This book presents new advances in several areas of mathematics and
engineering mathematics including applications in modern
technology, engineering and life sciences. Thirteen high-quality
chapters put forward many new methods and results, reviews of up to
date research and open directions and problems for future
research.
A special chapter by Gunnar Sparr and Georg Lindgren contains a
historical account and important aspects of engineering
mathematics
research and education, and the implementation of the highly
successful education programme in Engineering Mathematics at Lund
Institute of Technology, where not only the mathematical sciences
have played a role.
This book will serve as a source of inspiration for a broad
spectrum of researchers and research students."
Convex functions play an important role in almost all branches
of mathematics as well as other areas of science and engineering.
This book is a thorough introduction to contemporary convex
function theory addressed to all people whose research or teaching
interests intersect with the field of convexity. It covers a large
variety of subjects, from the one real variable case (with all its
mathematical gems) to some of the most advanced topics such as
Choquet's theory, the Pr kopa-Leindler type inequalities and their
ramifications, as well as the variational approach of partial
differential equations and convex programming. Many results are new
and the whole book reflects the authors own experience, both in
teaching and research. The book can serve as a reference and source
of inspiration to researchers in several branches of mathematics
and engineering and it can also be used for graduate courses.
This volume contains 16 refereed research articles on function
spaces, interpolation theory and related fields. Topics covered:
theory of function spaces, Hankel-type and related operators,
analysis on bounded symmetric domains, partial differential
equations, Green functions, special functions, homogenization
theory, Sobolev embeddings, Coxeter groups, spectral theory and
wavelets. The book will be of interest to both researchers and
graduate students working in interpolation theory, function spaces
and operators, partial differential equations and analysis on
bounded symmetric domains.
This book discusses, develops and applies the theory of
Vilenkin-Fourier series connected to modern harmonic analysis. The
classical theory of Fourier series deals with decomposition of a
function into sinusoidal waves. Unlike these continuous waves the
Vilenkin (Walsh) functions are rectangular waves. Such waves have
already been used frequently in the theory of signal transmission,
multiplexing, filtering, image enhancement, code theory, digital
signal processing and pattern recognition. The development of the
theory of Vilenkin-Fourier series has been strongly influenced by
the classical theory of trigonometric series. Because of this it is
inevitable to compare results of Vilenkin-Fourier series to those
on trigonometric series. There are many similarities between these
theories, but there exist differences also. Much of these can be
explained by modern abstract harmonic analysis, which studies
orthonormal systems from the point of view of the structure of a
topological group. The first part of the book can be used as an
introduction to the subject, and the following chapters summarize
the most recent research in this fascinating area and can be read
independently. Each chapter concludes with historical remarks and
open questions. The book will appeal to researchers working in
Fourier and more broad harmonic analysis and will inspire them for
their own and their students' research. Moreover, researchers in
applied fields will appreciate it as a sourcebook far beyond the
traditional mathematical domains.
Inequalities play an important role in almost all branches of
mathematics as well as in other areas of science and engineering.
This book surveys the present state of the theory of weighted
integral inequalities of Hardy type, including modifications
concerning Hardy-Steklov operators, and some basic results about
Hardy-type inequalities and their limit (Carleman-Knopp type)
inequalities. It also describes some rather new areas such as
higher order and fractional order Hardy-type inequalities and
integral inequalities on the cone of monotone functions, together
with some applications and open problems.In this second edition,
all chapters in the first edition have been updated with new
information. Moreover, a new chapter contains new and complementary
information concerning: (a) a convexity approach to prove and
explain Hardy-type inequalities; (b) sharp constants; (c) scales of
inequalities to characterize Hardy-type inequalities; (d)
Hardy-type inequalities in other function spaces; and (e) a number
of new open questions.
Fa manniskor i var tid agnar sin sjal, dess eviga val och sin
Skapare nagon djupare tanke och omsorg. Sa oforstandiga har
manniskorna inte alltid varit, och an idag inser forstas manga att
man for att radda sin sjal och narma sig Gud och vinna Hans vanskap
maste bedja - men hur gor man? I denna bok presenteras insikter och
rad i detta amne fran en annan tid, men med en giltighet som
overskrider tidsepokerna, i form av en tillforlitlig katolsk
undervisning om bonen och dess olika stadier, fran vanlig enkel bon
med ord till mystikens hojdpunkt, unio mystica och det andliga
aktenskapet med Gud. Boken forfattades 1778 av fader Pierre-Joseph
de Cloriviere, S.J. (1735-1820) pa forfragan av de fromma
eremiterna pa Mont-Valerien i Paris, vilkas biktfader han var, och
erbjuder lasaren en pa den karmelitiska och ignatianska
spiritualiteten grundad, klar och koncis framstallning av hur man
gar till vaga for att gora framsteg i bonelivet och overvinna de
olika svarigheter man dar som oftast moter. I ett langre forord
presenteras dessutom fader Clorivieres handelse- och larorika
levnadshistoria. Sa har heter det i detta forord: "Vem skall da
lasa denna bok? For praster och ordensfolk, som vill forkovra sig i
det andliga livet och aven kunna ge kvalificerad vagledning till
andra harom, utgor den utan tvekan en verklig guldgruva. Dess
enkelhet, rattframhet och frihet fran tyngande larda utlaggningar
gor den ocksa sarskilt lampad for alla kristtrogna som tar sin tro
pa allvar och darfor vill fordjupa sitt boneliv och skrida framat
pa helgelsens langa och ofta slingriga och tornestrodda stig. Det
ar i sjalva verket svart att se hur nagon som onskar komma narmare
Gud skulle kunna undga att dra nytta av den oskattbara vagledning
och de manga insiktsfulla rad om det andliga livet som har ges pa
sa gott som varenda sida. Ja, om man vill ta denna bok som
vagvisare i sitt boneliv, torde man vilja lasa den inte endast en
gang, utan gang pa gang for att finna ny naring och hjalp
alltefterso
This book gives a unified approach to the theory concerning a new
matrix version of classical harmonic analysis. Most results in the
book have their analogues as classical or newer results in harmonic
analysis. It can be used as a source for further research in many
areas related to infinite matrices. In particular, it could be a
perfect starting point for students looking for new directions to
write their PhD thesis as well as for experienced researchers in
analysis looking for new problems with great potential to be very
useful both in pure and applied mathematics where classical
analysis has been used, for example, in signal processing and image
analysis.
The book may be considered as a systematic and detailed analysis of
a wide class of integral transforms with product kernels from the
two-weighted boundedness point of view. The considered product
kernels cover that case when factors of kernels have essential
(less than one) singularities. The book intends to make a
breakthrough in two directions: to cover multidimensional
potentials, Hilbert transforms, strong maximal functions and at the
same time, to present solutions of two-weighted problems for them
which are much more complicated than one-weighted ones. In the
given monograph two-weighted boundedness criteria for multiple
Hardy transforms is reflected in the case when the two-dimensional
weight on the right-hand side of an appropriate inequality is a
product of two weight functions of single variable. In this case we
present simpler and transparent criteria than those of E Sawyer for
general weights. Moreover, we prove some new multidimensional
Hardy{ type inequalities with general kernels. Weighted integral
in-equalities for monotonic functions of several variables are also
discussed. The main subjects of this book can be useful for
applications both within various areas of the mathematical sciences
(e.g. Fourier and Harmonic analysis, Fractional Calculus, BVP of
PDE in Mathematical Physics, Stochastic Processes, Error Estimates
in Numerical Analysis, etc.) as well as directly in some applied
sciences.
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